Question

Equation of Ideal Gas or Perfect Gas

Answer 1

Equation of Ideal Gas or Perfect Gas

The relation between pressure $P$, volume $V$ and absolute temperature $T$ of a gas is given by

$P V =n R T$

$=k_{B} N T$

Where $n$ is the number of moles of the gas and $R$ is the universal gas constant, its value, $R=8.31 J mol ^{-1} K ^{-1}$ and $k_{B}$ is Boltzmann's constant.

$k_{B}=\frac{R}{N_{A}}$

Here, $N_{A}$ is Avogadro's constant or Avogadro's number. $k_{B}=1.38 \times 10^{-23} J K ^{-1}$ and $N_{A}=6.022 \times 10^{23}$ per mol.

While deriving the ideal gas equation, the following two assumptions are used :

(i) The size of the gas molecules is negligibly small.

(ii) There is no force of attraction amongst the molecules of the gas.